Search a number
-
+
224442244422 = 2321121737173947
BaseRepresentation
bin1101000100000111001…
…1001101110101000110
3210110022202200100111100
43101001303031311012
512134124203310142
6251035104120530
722133613412554
oct3210163156506
9713282610440
10224442244422
1187204883200
12375b9306146
131821b12b0b6
14ac1235abd4
155c891c0b4c
hex3441ccdd46

224442244422 has 288 divisors, whose sum is σ = 585234520416. Its totient is φ = 61856593920.

The previous prime is 224442244399. The next prime is 224442244423.

224442244422 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 4 + 224 + 4 + 422 = 666.

224442244422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2244422444222 (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224442244423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237002953 + ... + 237003899.

It is an arithmetic number, because the mean of its divisors is an integer number (2032064307).

Almost surely, 2224442244422 is an apocalyptic number.

224442244422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224442244422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292617260208).

224442244422 is an abundant number, since it is smaller than the sum of its proper divisors (360792275994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224442244422 is a wasteful number, since it uses less digits than its factorization.

224442244422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1190 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 224442 and 244422, that added together give a palindrome (468864).

The spelling of 224442244422 in words is "two hundred twenty-four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred twenty-two".